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Finding the Fourth Proportional to 187.69, 281.64 and 78.05

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Solution

The fourth proportional to 187.69, 281.64 and 78.05 is: 117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.69 : 281.64 = 78.05 : x
  2. Step 2: Convert to fraction form
    187.69/281.64 = 78.05/x
  3. Step 3: Cross multiply
    187.69x = 281.64 × 78.05
  4. Step 4: Simplify right side
    187.69x = 21,982.00
  5. Step 5: Solve for x
    x = 21,982.00/187.69
  6. Step 6: Final answer
    x = 117.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.